Multi-Baker Map as a Model of Digital PD Control

DOI10.1142/S0218127416500231zbMath1334.34142MaRDI QIDQ2800711

Gábor Csernák, Gergely Gyebrószki, Gabor Stepan

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

hybrid systemdigital controlSmale horseshoechaos proofmicro-chaos

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (1)

Clustered simple cell mapping: an extension to the simple cell mapping method

Uses Software

• Eigtool

Cites Work

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• Life expectancy of transient microchaotic behaviour
• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Micro-chaos in digital control
• DIGITAL CONTROL AS SOURCE OF CHAOTIC BEHAVIOR
• Microchaotic Motion of Digitally Controlled Machines
• Stabilizing a linear system with quantized state feedback

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